Angles on parallel lines

The Maths Habit

Which angles at the bottom crossing are the same size as the pink angle?

ABCD

B and D. They are the same size as the pink angle.

Are the two lines parallel?

AParallel
BNot parallel
CParallel

Parallel
Lines that stay the same distance apart. Arrows show parallel lines.
Crossing line
A straight line that cuts across the parallel lines.
Corresponding angles
Angles in the same place at each crossing.
Alternate angles
Angles between the parallel lines, on opposite sides of the crossing line.

Corresponding angles are equal.

  1. Name the pair.The same place at each crossing: corresponding.
  2. Copy the angle.Corresponding angles are equal.
1Paircorresponding or alternateangles are equal
2Anglex=the same angle°

Find the size of angle x.

55°x
1Paircorrespondingangles are equal
2Anglex=55°

Find the size of angle x.

110°x
1Paircorrespondingangles are equal
2Anglex=110°

Find the size of angle x.

55°x
1Paircorrespondingangles are equal
2Anglex=55°

Find the size of angle x.

60°x
corresponding
1 Pair name it2 Angle x is the same size
1Paircorrespondingangles are equal
2Anglex=60°

Find the size of angle x.

55°x
1Paircorrespondingangles are equal
2Anglex=55°

Find the size of angle x.

65°x
corresponding
1 Pair name it2 Angle x is the same size
1Paircorrespondingangles are equal
2Anglex=65°

Find the size of angle x.

55°x
1Paircorrespondingangles are equal
2Anglex=55°

Find the size of angle x.

75°x
corresponding
1 Pair name it2 Angle x is the same size
1Paircorrespondingangles are equal
2Anglex=75°

Find the size of each angle x.

150°x
1Paircorrespondingangles are equal
2Anglex=50°
270°x
1Paircorrespondingangles are equal
2Anglex=70°
3120°x
1Paircorrespondingangles are equal
2Anglex=120°
corresponding
1 Pair name it2 Angle x is the same size

Alternate angles are equal.

  1. Name the pair.Between the parallel lines, on opposite sides of the crossing line: alternate.
  2. Copy the angle.Alternate angles are equal.
1Paircorresponding or alternateangles are equal
2Anglex=the same angle°

Find the size of angle x.

60°x
1Pairalternateangles are equal
2Anglex=60°

Find the size of angle x.

110°x
1Pairalternateangles are equal
2Anglex=110°

Find the size of angle x.

60°x
1Pairalternateangles are equal
2Anglex=60°

Find the size of angle x.

125°x
correspondingalternate
1 Pair name it2 Angle x is the same size
1Pairalternateangles are equal
2Anglex=125°

Find the size of angle x.

60°x
1Pairalternateangles are equal
2Anglex=60°

Find the size of angle x.

130°x
correspondingalternate
1 Pair name it2 Angle x is the same size
1Pairalternateangles are equal
2Anglex=130°

Find the size of angle x.

60°x
1Pairalternateangles are equal
2Anglex=60°

Find the size of angle x.

70°x
correspondingalternate
1 Pair name it2 Angle x is the same size
1Pairalternateangles are equal
2Anglex=70°

Find the size of each angle x.

145°x
1Pairalternateangles are equal
2Anglex=45°
265°x
1Pairalternateangles are equal
2Anglex=65°
355°x
1Pairalternateangles are equal
2Anglex=55°
correspondingalternate
1 Pair name it2 Angle x is the same size

Corresponding, alternate or neither?

ACorresponding
BAlternate
CNeither
DCorresponding

Angles on parallel lines worksheet, page 1

Angles on parallel lines worksheet, page 2

Answer sheet

  1. Two lines are crossed by a line. The corresponding angles are 72° and 74°. Are the lines parallel?

    No

  2. A crossing line makes eight angles with two parallel lines. One of them is 64°. Find the sizes of the other seven.

    64° and 116°

  3. Two angles between the parallel lines, on the same side of the crossing line, add up to 180°. One of them is 75°. Find the other.

    105°

  1. Find the size of angle x. 1Paircorrespondingangles are equal2Anglex=65°

    65°
    65°x

  2. Find the size of angle x. 1Pairalternateangles are equal2Anglex=55°

    55°
    55°x

  3. Find the size of angle x. Give a reason.

    x = 125°, corresponding
    125°x
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